Answer:
The inverse of the function is
.
Explanation:
The function provided is:

Let
.
Then the value of x is:

For the inverse of the function,
.
⇒

Compute the value of
as follows:
![f[f^(-1)(x)]=f[(x-5)/(3)]](https://img.qammunity.org/2021/formulas/mathematics/college/ft8k1hfa3pdrqa5yd82u3b96c36ohtpiv2.png)
![=3[(x-5)/(3)]+5\\\\=x-5+5\\\\=x](https://img.qammunity.org/2021/formulas/mathematics/college/o2wn5nh8hhctbc8km80dyawe47p5r0o1r2.png)
Hence proved that
.
Compute the value of
as follows:
![f^(-1)[f(x)]=f^(-1)[3x+5]](https://img.qammunity.org/2021/formulas/mathematics/college/6l1nv8j3zbdanrb5oz1eza0xn0lh2wlzq7.png)

Hence proved that
.